The values of X and Y that maximize the function' = 110X - 3X -2XY - 2Y + 140Y such that X/Y = 2 are
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UoH 2011 Question 41: Constrained optimisation and linear programming
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The values of X and Y that maximize the function' π = 110X - 3X ² -2XY - 2Y ² + 140Y such that X/Y = 2 are (A) X = 10, Y =10 (B) X = 40, Y = 20 (C) X = 25, Y = 50 (D) X = 20, Y = 10
Also written as: The values of X and Y that maximize the function' pi = 110X - 3X ^2 -2XY - 2Y ^2 + 140Y such that X/Y = 2 are
Constrained optimisation and linear programming has come up 44 times in 7 exams since 2007.
What this question tests
This question is on Equality-constrained optimisation and Lagrange multipliers, part of Constrained optimisation and linear programming in Mathematics.
Optimising a function subject to equality constraints, and what the multiplier means.
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